Solve Exp. Equations
3-3m=32
m=-2/3
An employee receives a 3% raise once per year. If the employee's initial salary is $67,700.00, what will the employee's salary be after 7 years?
$83, 262.46
y=5(1/2)x-2+2
V. Stretch by factor of 5, right 2, up 2
Describe what an asymptote is:
An invisible boundary line your graph approaches, but never touches
Is this an example of exponential growth?
3, 6, 9, 12, 15...
NO, this is linear growth
2-5v=(1/32)-v+1
v=1/2
Rentals in a high rise apartment building get more expensive higher up, since the views get better. The ground floor (floor 0) rent is $1,230.00. The rent increases 2% per floor. What is the rent on the 9th floor?
$1,469.96
y=2-x
Reflection over y-axis
State the Domain/Range/intercepts/asymptote and end behavior:
y=5(2)x-2-2
D: all real #'s R: y>-2 y-int: (0, -0.75) x-int: (0.68,0) A: y=-2 EB: positive infinity on right, -2 on left
Give a list of data that shows exponential growth AND one that shows exponential decay
Answers may vary
9-n+2=1/81
n=4
A cup of hot coffee cools (loses heat) at a rate of 4% per minute and the coffee's current temp is 92.10 degrees F. In how many minutes will the coffee be 76.22 degrees F?
4min
y=1/2(2)x-1+1
V. shrink by factor of 1/2, right 1, up 1
State the Domain/Range/intercepts/asymptote and end behavior:
y=-4(2)x-1+2
D: all real #'s R: y<2 y-int: (0, 0) x-int: (0,0) A: y=2 EB: negative infinity on right, 2 on left
What is the initial amount, the growth/decay factor and the percent rate of change?
y=14(1.03)t
IA: 14 GF: 1.03 PROC: 3%
(1/64)-x=(1/4)-3x
x= all real numbers
Ms. Stang invests $3000 at an annual interest rate of 11% compounded daily without withdrawing or depositing any more money. What will be the amount in the account after 14 years? How much interest did Ms. Stang earn in those 14 years?
$13,990.52 in the account, which means $10,990.52 came from interest.
y=2x+4-5
Left 4, down 5
State the Domain/Range/intercepts/asymptote and end behavior:
y=5(2)x-2+2
D: all real #'s R: y>2 y-int: (0, 3.25) x-int: N/A A: y=2 EB: positive infinity on right, 2 on left
What is the initial amount, the growth/decay factor and the percent rate of change?
y=25(0.6)t
IA: 25 DF: 0.6 PROC: 40%
4-3m(42m-2)=4-3m
m=1
Lydia invests $3,050 in a savings account with a fixed annual interest rate of 7% compounded quarterly. How long will it take the account balance to reach $4,625.15?
6 years
y=-3(1/2)x+2-2
Reflection over x-axis, V. stretch by factor of 3, left 2, down 2
State the Domain/Range/intercepts/asymptote and end behavior:
y=-2(1/2)x+2+1
D: all real #'s R: y<1 y-int: (0, 0.5) x-int: (-1,0) A: y=1 EB: negative infinity on left, 1 on right
Write an exponential function with an initial amount of 5,000 and a growth percent of change of 8%.
f(x)=5,000(1.08)x